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International Conference on Computer Aided Systems Theory

EUROCAST 2007: Computer Aided Systems Theory – EUROCAST 2007 pp 163–170Cite as

Random Motion with Gamma-Distributed Alternating Velocities in Biological Modeling

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4739))

Abstract

Motivated by applications in mathematical biology concerning randomly alternating motion of micro-organisms, we analyze a generalized integrated telegraph process. The random times between consecutive velocity reversals are gamma-distributed, and perform an alternating renewal process. We obtain the probability law and the mean of the process.

Work performed under partial support by MIUR (PRIN 2005), G.N.C.S.-INdAM and Regione Campania.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Salerno, Via Ponte don Melillo, I-84084 Fisciano (SA), Italy

    Antonio Di Crescenzo & Barbara Martinucci

Authors
  1. Antonio Di Crescenzo
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  2. Barbara Martinucci
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Editor information

Roberto Moreno Díaz Franz Pichler Alexis Quesada Arencibia

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© 2007 Springer-Verlag Berlin Heidelberg

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Di Crescenzo, A., Martinucci, B. (2007). Random Motion with Gamma-Distributed Alternating Velocities in Biological Modeling. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2007. EUROCAST 2007. Lecture Notes in Computer Science, vol 4739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75867-9_21

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  • DOI: https://doi.org/10.1007/978-3-540-75867-9_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75866-2

  • Online ISBN: 978-3-540-75867-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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